8528048100 has 864 divisors, whose sum is σ = 34031821824. Its totient is φ = 1756339200.

The previous prime is 8528048099. The next prime is 8528048101. The reversal of 8528048100 is 18408258.

It is an interprime number because it is at equal distance from previous prime (8528048099) and next prime (8528048101).

It is a super-2 number, since 2×8528048100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8528048101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 127284267 + ... + 127284333.

Almost surely, 2^8528048100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8528048100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17015910912).

8528048100 is an abundant number, since it is smaller than the sum of its proper divisors (25503773724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8528048100 is a wasteful number, since it uses less digits than its factorization.

8528048100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 8528048100 is about 92347.4314748385. The cubic root of 8528048100 is about 2043.0698446526.

The spelling of 8528048100 in words is "eight billion, five hundred twenty-eight million, forty-eight thousand, one hundred".